Ergodic geodesic flows on product manifolds with low dimensional factors.

Keith Burns; Marlies Gerber

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Metric with ergodic geodesic flow is completely determined by unparameterized geodesics.

Matveev, Vladimir S., Topalov, Petar J. (2000)

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The return sequence of the Bowen-Series map for punctured surfaces

Manuel Stadlbauer (2004)

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For a non-compact hyperbolic surface M of finite area, we study a certain Poincaré section for the geodesic flow. The canonical, non-invertible factor of the first return map to this section is shown to be pointwise dual ergodic with return sequence (aₙ) given by aₙ = π/(4(Area(M) + 2π)) · n/(log n). We use this result to deduce that the section map itself is rationally ergodic, and that the geodesic flow associated to M is ergodic with respect to the...

Quasiconformality in the Geodesic Flow of Negatively Curved Manifolds.

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Journal für die reine und angewandte Mathematik

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Vadim A. Kaimanovich (1994)

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Mathematische Zeitschrift

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On the geodesic connectedeness of Lorentzian manifolds.

V. Benci, D. Fortunato, A. Masiello (1994)

Mathematische Zeitschrift

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A typical convex surface contains no closed geodesic.

Peter M. Gruber (1991)

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Some properties of geodesic semi E-b-vex functions

Adem Kiliçman, Wedad Saleh (2015)

Open Mathematics

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In this study, we introduce a new class of function called geodesic semi E-b-vex functions and generalized geodesic semi E-b-vex functions and discuss some of their properties.

On the Ergodic Theorem for Positive Linear Operators.

Eberhard Hopf (1960/61)

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Prime geodesic theorem for the theta case.

Roland Matthes (1994)

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Victor Bangert (1983)

Mathematische Annalen

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Ergodic theorems for superadditive processes.

U. Krengel, M.A. Akcoglu (1981)

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